Student[Calculus1][InversePlot] - plot an expression and its reflection through the line y=x

Calling Sequence

InversePlot(f(x), x, opts)

InversePlot(f(x), x = a..b, opts)

InversePlot(f(x), a..b, opts)

Parameters

f(x)

-

algebraic expression in variable 'x'

x

-

name; specify the independent variable

a, b

-

algebraic expressions; specify the plot range

opts

-

equation(s) of the form option=value where option is one of functionoptions, inverseoptions, lineoptions, showfunction, showinverse, showline, or Student plot options; specify options for the plot

Description

•

The InversePlot(f(x), x=a..b) command plots the expression and its inverse reflected through the line .

•

If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.

•

The default domain and range of the plot are found by taking the smallest interval which contains the interval and a possibly restricted range of the expression f(x) on that interval. If is not provided, the default interval is used. To control the horizontal and vertical ranges actually displayed in the plot, use the view option parameter.

•

The opts argument can contain any of the Student plot options or any of the following equations that set plot options.

functionoptions =list

A list of options for the plot of the expression . By default, the expression is plotted as a solid line. For more information on plot options, see plot/options.

inverseoptions =list

A list of options for the plot of the inverse of the expression . By default, the inverse is plotted as a solid line. For more information on plot options, see plot/options.

lineoptions =list

A list of options for the plot of the line . By default, this line is plotted as a dashed line. For more information on plot options, see plot/options.

showfunction =true or false

Whether the expression is plotted. By default, the value is true.

showinverse =true or false

Whether the inverse of is plotted. By default, the value is true.

showline =true or false

Whether the line is plotted. By default, the value is true.

caption =anything

A caption for the plot.

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.

title =anything

A title for the plot.

The default title is constructed from the parameters and the command options. title = "" disables the default title. For more information about specifying a title, see plot/typesetting.